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Finding the Fourth Proportional to 25.99, 35.64 and 24.17

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Solution

The fourth proportional to 25.99, 35.64 and 24.17 is: 33.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.99 : 35.64 = 24.17 : x
  2. Step 2: Convert to fraction form
    25.99/35.64 = 24.17/x
  3. Step 3: Cross multiply
    25.99x = 35.64 × 24.17
  4. Step 4: Simplify right side
    25.99x = 861.24
  5. Step 5: Solve for x
    x = 861.24/25.99
  6. Step 6: Final answer
    x = 33.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.